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Finding the Fourth Proportional to 121.63, 182.37 and 60.83

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Solution

The fourth proportional to 121.63, 182.37 and 60.83 is: 91.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.63 : 182.37 = 60.83 : x
  2. Step 2: Convert to fraction form
    121.63/182.37 = 60.83/x
  3. Step 3: Cross multiply
    121.63x = 182.37 × 60.83
  4. Step 4: Simplify right side
    121.63x = 11,093.57
  5. Step 5: Solve for x
    x = 11,093.57/121.63
  6. Step 6: Final answer
    x = 91.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.